#define _CRT_SECURE_NO_WARNINGS 1
class Solution {
public:
    int maxValue(vector<vector<int> >& grid) {
        int m = grid.size(), n = grid[0].size();
        vector<vector<long long>> dp;
        dp.resize(m + 1);
        dp[0].resize(n + 1);
        for (int i = 1; i <= m; i++)
        {
            dp[i].resize(n + 1);
            for (int j = 1; j <= n; j++) dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]) + grid[i - 1][j - 1];
        }

        return dp[m][n];
    }
};